4 259 Exponent Status

Great Internet Mersenne Prime Search
GIMPS
Finding World Record Primes Since 1996

PrimeNet Exponent Status

M_n

Status

Details

Composite, with 2 known prime factors. Cofactor is composite.

Factored

Factor	Digits	Bits	Date
918648240952126271	18	59.7	old
484399053828087857927777245183883458323463	42	138.5	2020-09-30 15:48:42

ECM

Digits	B1	Curves
25	50000	280 / 280
30	250000	640 / 640
35	1000000	1566 / 1566
40	3000000	4588 / 4588
45	11000000	9201 / 9201
50	44000000	16550 / 16550
55	110000000	18093 / 40830

Estimated T-Level: 52.2 ⓘ

TF below 2^168 is very unlikely to find new factors due to ECM effort.

Status	Date	User	Residue	Number of known factors	Shift	Type	Base
Verified (Factored)	2017-09-21	Oliver Kruse	0548EAC5F9087BCE	1	0	1	3
Verified (Factored)	2017-10-12	kkmrkkblmbrbk	0548EAC5F9087BCE	1	410	1	3
Verified (Factored)	2020-04-17	Oliver Kruse	791F2DA8E1540E40	1	3280	5	3
Verified	2020-10-01	tottenhoff	791F2DA8E1540E40	2	3040	5	3

History

Date	User	Type	Result
2023-05-19	-Anonymous-	NF-PM1	B1=76000000000, B2=761666906426476050
2021-07-05	ViliamF	NF-PM1	B1=1000000000, B2=201000000000
2020-10-01	tottenhoff	C-PRP	M4259/918648240952126271/484399053828087857927777245183883458323463 : 791F2DA8E1540E40 PRP: Verified PRP without proof (small exponent)
2020-09-30	Ryan Propper	F-ECM	Factor: 484399053828087857927777245183883458323463 / (ECM curve 1, B1=110000000, B2=900514153782, Sigma=7921730607498746562)
2020-04-17	Oliver Kruse	C-PRP	M4259/918648240952126271 : 791F2DA8E1540E40 PRP: Verified PRP without proof (small exponent)
2017-10-12	kkmrkkblmbrbk	C-PRP	M4259/918648240952126271 : 0548EAC5F9087BCE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4259/918648240952126271 : 0548EAC5F9087BCE PRP: Verified PRP without proof (not generated)
2017-09-21	Oliver Kruse	C-PRP	M4259/918648240952126271 : 0548EAC5F9087BCE PRP without proof (not generated)